Subgroups — D₁₅₇⋊C₃₂ #23758204

Order 10048.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19097821	C₂	1	2	yes	maximal, complemented
2	C₁₆×D₁₅₇	C₂	1	1	yes	maximal, characteristic
3	C₈×D₁₅₇	C₄	1	1	yes	characteristic
4	#14578929	C₂²	1	1	yes	characteristic
5	C₁₆×C₁₅₇	C₄	1	1	yes	characteristic
6	C₄×D₁₅₇	C₈	1	1	yes	characteristic
7	#11929434	C₈	1	1	yes	characteristic
8	C₈×C₁₅₇	C₂×C₄	1	1	yes	characteristic
9	C₂×D₁₅₇	C₁₆	1	1	yes	characteristic
10	C₄×C₁₅₇	C₂×C₈	1	1	yes	characteristic
11	Dic₁₅₇	C₁₆	1	1	yes	characteristic
12	C₂×C₁₅₇	C₂×C₁₆	1	1	yes	characteristic
13	D₁₅₇	C₃₂	1	2	yes	complemented
14	C₁₅₇	C₂×C₃₂	1	1	yes	characteristic, complemented, Sylow
15	C₂×C₃₂	—	157	1	no	maximal, Sylow
16	C₂×C₁₆	—	157	1	no	—
17	C₃₂	—	157	2	no	—
18	C₂×C₈	—	157	1	no	—
19	C₁₆	—	157	1	no	—
20	C₁₆	#10597845	1	1	yes	characteristic
21	C₂×C₄	—	157	1	no	—
22	C₈	—	157	1	no	—
23	C₈	C₂×#10597845	1	1	yes	characteristic
24	C₂²	—	157	1	no	—
25	C₄	—	157	1	no	—
26	C₄	D₁₅₇⋊C₈	1	1	yes	characteristic
27	C₂	—	157	2	no	—
28	C₂	D₁₅₇⋊C₁₆	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.